Find an equation in standard form for the image of the graph of y=-.5x^2 under the translation of T(2,-4)

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- Nov 20th 2011, 06:01 PMzachshort96Finding an equation in standard form
Find an equation in standard form for the image of the graph of y=-.5x^2 under the translation of T(2,-4)

- Nov 20th 2011, 06:10 PMskeeterRe: Finding an equation in standard form
vertex form for a quadratic ...

$\displaystyle y = a(x - h)^2 + k$ , where $\displaystyle (h,k)$ are the vertex coordinates.

$\displaystyle y = -\frac{1}{2}(x - 0)^2 + 0$

moving the vertex of the parabola from $\displaystyle (0,0)$ to $\displaystyle (2,-4)$ ...

$\displaystyle y = -\frac{1}{2}(x-2)^2 - 4$